Want a good "Group Theory" book

Thread starter beman
Start date Aug 6, 2015
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Book Book recommendation Group theory Theory Topology

In summary, "Group Theory" is a branch of mathematics that studies groups, which are sets of elements with specific mathematical rules and operations. It has many applications in fields such as physics, chemistry, and computer science, and helps to uncover patterns in mathematics. Some recommended books on the topic are "Abstract Algebra" by Dummit and Foote, "A Book of Abstract Algebra" by Pinter, and "Group Theory: A Physicist's Survey" by Ramond. A strong foundation in basic algebra and mathematical concepts is necessary to understand "Group Theory", as well as some knowledge of abstract algebra and linear algebra. Real-world applications of "Group Theory" include cryptography, coding theory, and physics.

Aug 6, 2015

beman

I am physics student.I know basic definition of topological space.I want a book(or may be any web note or video lecture) where topology spaces of various groups are rigorously discussed.

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Aug 7, 2015

Borg

Science Advisor

Gold Member

There's a thread titled Free Physics Books. You can probably find something in there.

Aug 10, 2015

haushofer

Science Advisor

Insights Author

Maybe you like Brian Hall's book on group theory :)

What is "Group Theory"?

"Group Theory" is a branch of mathematics that deals with the study of groups, which are sets of elements that follow specific mathematical rules and operations.

Why is "Group Theory" important?

"Group Theory" is important because it has many applications in different fields such as physics, chemistry, and computer science. It also helps to understand the underlying structure and patterns in mathematics.

What are some good books on "Group Theory"?

Some good books on "Group Theory" include "Abstract Algebra" by David S. Dummit and Richard M. Foote, "A Book of Abstract Algebra" by Charles C. Pinter, and "Group Theory: A Physicist's Survey" by Pierre Ramond.

What level of mathematical background is needed to understand "Group Theory"?

A strong foundation in basic algebra and mathematical concepts is necessary to understand "Group Theory". Some knowledge of abstract algebra and linear algebra is also helpful.

What are some real-world applications of "Group Theory"?

"Group Theory" has various real-world applications, such as in cryptography for secure communication, in coding theory for error-correcting codes, and in physics for understanding the symmetries of particles and their interactions.